![]() 4.) The derivative of a function describes the function's instantaneous rate of change at a certain point. 3.) Simplifying this gives us 1 ⁄ 4 x 3 + 6x + C. 2.) Applying the reverse power rule gives us 3 ⁄ 4 (2 + 1) x (2 + 1) + 6x + C. Solution: 1.) We will use the reverse power rule to take the antiderivative of this function. Learn how we define the derivative using limits.Find the antiderivative with respect to x of the function f (x) = 3 ⁄ 4 x 2 + 6. Another common interpretation is that the derivative gives us the slope of the line tangent to the function's graph at that point. Free second implicit derivative calculator - implicit differentiation solver step-by-step The derivative of a function describes the function's instantaneous rate of change at a certain point. It can handle polynomial, rational, irrational, exponential, logarithmic, trigonometric, inverse trigonometric, hyperbolic, and inverse hyperbolic functions. Read More.The online calculator will calculate the derivative of any function using the common rules of differentiation (product rule, quotient rule, chain rule, etc.), with steps shown. Differentiation is a method to calculate the rate of change (or the slope at a point on the graph) we will not. High School Math Solutions – Derivative Calculator, the Basics. Symbolab is the best calculus calculator solving derivatives, integrals, limits, series, ODEs, and more. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. ![]() Explore math with our beautiful, free online graphing calculator.
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